重庆大学学报2024，Vol.47Issue(2)：32-39,8.DOI:10.11835/j.issn.1000-582X.2020.066
具有三种否定的模糊推理算法及应用
Fuzzy reasoning algorithm and its application with three types of negation
摘要
Abstract
In fuzzy reasoning,both the compositional rule of inference(CRI)and the similarity-based approximate reasoning(SAR)methods are built on classical fuzzy sets with only one negation.With considering the characteristics of the generalized fuzzy set(GFScom)that possesses three types of negation(contradiction,opposite and medium negation),an extension is made to the implication operator of the CRI fuzzy reasoning method.The definition and formula of GFScom closeness degree,which incorporates three types of negation,are presented.A new computational method of fuzzy approximate reasoning,named GSAR(generalized similarity-based approximate reasoning),is proposed.The method is proven to have reducibility for fuzzy modus ponens(FMP).Through comparative examples,the new GSAR fuzzy reasoning method not only overcomes the subjectivity and arbitrariness of the CRI method in establishing fuzzy relation matrices,but also objectively and effectively reflects three types of negative information in fuzzy reasoning,thereby enriching the forms of fuzzy reasoning.关键词
广义模糊集/三种否定/贴近度/模糊推理Key words
generalized fuzzy set/three types of negation/similarity measure/fuzzy reasoning分类
数理科学引用本文复制引用
吴晓刚..具有三种否定的模糊推理算法及应用[J].重庆大学学报,2024,47(2):32-39,8.基金项目
国家自然科学基金资助项目(61673301) （61673301）
贵州省科学技术基金资助项目(黔科合基础1458号) （黔科合基础1458号）
贵州省教育厅自然科学重点项目(黔教合KY字403).Supported by National Natrual Science Foundation of China(61673301),Guizhou Provincial Science and Technology Foundation(Grant No.1458),and Educational Commission of Guizhou Province(Grant 403 Contract KY). （黔教合KY字403）
